136916044416 has 224 divisors, whose sum is σ = 417671150400. Its totient is φ = 44666214912.

The previous prime is 136916044411. The next prime is 136916044427. The reversal of 136916044416 is 614440619631.

136916044416 is a `hidden beast` number, since 1 + 36 + 9 + 1 + 604 + 4 + 4 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (136916044411) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4370055 + ... + 4401273.

It is an arithmetic number, because the mean of its divisors is an integer number (1864603350).

Almost surely, 2^136916044416 is an apocalyptic number.

136916044416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136916044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208835575200).

136916044416 is an abundant number, since it is smaller than the sum of its proper divisors (280755105984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136916044416 is an frugal number, since it uses more digits than its factorization.

136916044416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31298 (or 31271 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 136916044416 in words is "one hundred thirty-six billion, nine hundred sixteen million, forty-four thousand, four hundred sixteen".